9.11 Construct a network activity diagram based on the following information: Activity Preceding Activities A B D E - A A A B LL F C, D G H E, F F G, H | 9.12 You have a partial network for your project, and you are about to conduct a forward pass through it. Explain why the early start (ES) for activity G is 23 days, not 19 days. Remember, activity G is a merge activity. 16 E 23 7 G 4 14 F 19 5 9.13 Referring to the figure in Problem 9.12 , suppose that Activity G was the last activity in the network and you were about to start a backward pass. a. What is the project's duration? (Hint: complete the forward pass) b. What are the late finish (LF) and late start (LS) values for activities E, F, and G? c. Which activity has slack time? How many days? 9.15 Your university is holding a fund-raiser and will be hiring a band to entertain spectators. You have been selected to serve as the event project manager and have created a Work Breakdown Structure and duration estimates for the activities involved in site preparation for the event. Construct a network activity diagram based on the following information: Activity A B C D Description Site selection Buy concessions Rent facilities Build stands Predecessors None A Duration (Days) 4 A 2 A 5 E Generator & wiring installation 2 F Security B 4 G Lighting installation E 2 H Sound system installation E, F 2 Stage construction D 3 J Tear down G, H, I a. Conduct both a forward and backward pass using AON notation. What is the estimated total duration for the project? b. Identify all paths through the network. Which is the critical path? c. Which activities have slack time? d. Identify all burst activities and merge activities. 9.19 An advertising project manager has developed a program for a new advertising campaign. In addition, the manager has gathered the time information for each activity as shown in the following table: Time Estimates (week) Activity Optimistic Most Likely Pessimistic A 1 4 7 2 6 10 3 Immediate Predecessor(s) - B D 6 13 14 A E 6 14 A, C F 6 8 16 G 2 5 8 B D, E, F a. Calculate the expected activity times (round to nearest integer). b. Calculate the activity slacks. What is the total project length? Make sure you fully label all nodes in the network. c. Identify the critical path. What are the alternative paths, and how much slack time is associated with each non-critical path? d. Identify the burst activities and the merge activities. e. Given the activity variances, what is the likelihood of the project finishing on week 24? f. Suppose you wanted to have 99% confidence in the project finishing on time. How many additional weeks would your project team need to negotiate for in order to gain this 99% likelihood?